Sara and josh threw 5 darts at the target
Sara scores 19 points by landing 2 darts in a and 3 in b
Josh scored 17 points by landing 1 dart in a and 4 in b
How many points are given for a dart landing in a?
2a+3b = 19
a+4b = 17
Solve in the usual way.
To find out how many points are given for a dart landing in area A, we need to analyze the provided information.
Sara scored 19 points by landing 2 darts in A and 3 darts in B.
Josh scored 17 points by landing 1 dart in A and 4 darts in B.
Since the total number of darts thrown by both Sara and Josh is 5, we can calculate the total number of darts that landed in A by adding up the individual scores:
Sara scored 2 points per dart in A, so she contributed 2 * 2 = 4 points in A.
Josh scored 1 point per dart in A, so he contributed 1 * 1 = 1 point in A.
Thus, the total number of points from darts landing in A is 4 + 1 = 5 points.
To determine how many points are given for a dart landing in a, we need to look at the information given for both Sara and Josh.
From the given information:
- Sara landed 2 darts in a and 3 darts in b, scoring a total of 19 points.
- Josh landed 1 dart in a and 4 darts in b, scoring a total of 17 points.
Let's assign a variable to represent the number of points given for a dart landing in a. For example, let's say the number of points for landing in a is represented by x.
Now, let's use the information to set up an equation:
Sara's score: 2x (2 darts in a) + 3(0) (3 darts in b) = 19
Josh's score: 1x (1 dart in a) + 4(0) (4 darts in b) = 17
Simplifying these equations gives us:
2x + 0 = 19
1x + 0 = 17
From the second equation, we can see that x = 17. Therefore, each dart landing in a is given 17 points.